What are the internal forces F1 and F2 in rods (1) and (2), respectively?  Use the sign convention for internal axial forces. in kN (b) Determine the cross-sectional area for the rods. in mm^2 (c) If there were no temperature change, what would be the elongations δ1,P and δ2,P of rods (1) and (2), respectively, due to the load P? in mm

Mechanics of Materials (MindTap Course List)
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Author:Barry J. Goodno, James M. Gere
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Chapter2: Axially Loaded Members
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(a) What are the internal forces F1 and F2 in rods (1) and (2), respectively?  Use the sign convention for internal axial forces. in kN

(b) Determine the cross-sectional area for the rods. in mm^2

(c) If there were no temperature change, what would be the elongations δ1,P and δ2,P of rods (1) and (2), respectively, due to the load P? in mm

(d) If there were no temperature change, what would be the magnitude of the horizontal deflection at end C of the compound rod due to load P?

(e) Compute the change in temperature required to produce zero horizontal deflection at end C of the compound rod.  Enter a positive value for a temperature increase, or a negative value for a temperature decrease. in degrees celcius 

 

 

A solid aluminum alloy [E = 69 GPa; a = 23.6 × 106/C] rod (1) is attached rigidly to a solid brass [E = 115 GPa;
a = 18.7 × 10-6/°C] rod (2), as shown in the figure. The compound rod is subjected to a tensile load of P = 6.4 kN. The diameter of
each rod is 12 mm. The rods lengths are L₁ = 523 mm and L₂ = 675 mm. Compute the change in temperature required to produce
zero horizontal deflection at end C of the compound rod.
(1) B
L2
P
Transcribed Image Text:A solid aluminum alloy [E = 69 GPa; a = 23.6 × 106/C] rod (1) is attached rigidly to a solid brass [E = 115 GPa; a = 18.7 × 10-6/°C] rod (2), as shown in the figure. The compound rod is subjected to a tensile load of P = 6.4 kN. The diameter of each rod is 12 mm. The rods lengths are L₁ = 523 mm and L₂ = 675 mm. Compute the change in temperature required to produce zero horizontal deflection at end C of the compound rod. (1) B L2 P
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(d) If there were no temperature change, what would be the magnitude of the horizontal deflection at end C of the compound rod due to load P?

(e) Compute the change in temperature required to produce zero horizontal deflection at end C of the compound rod.  Enter a positive value for a temperature increase, or a negative value for a temperature decrease. in degrees celcius 

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